57019 ÷ 9 = 6335 R4
Alright, let's work through the division of 57019 by 9 step by step.

Step 1:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 9

Step 2:
9 goes into 57 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 54 from 57 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 9

Step 3:
9 goes into 30 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 63
Subtract 27 from 30 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 9

Step 4:
9 goes into 31 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 633
Subtract 27 from 31 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 9

Step 5:
9 goes into 49 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 6335
Subtract 45 from 49 to get 4.

The final result is 6335 with a remainder of 4.